To determine which ordered pair is part of the solution set for the equation \( y = 4x + 2 \), we need to substitute \( x = 3 \) into the equation and find the corresponding value of \( y \).
Starting with the equation:
\[ y = 4x + 2 \]
Substituting \( x = 3 \):
\[ y = 4(3) + 2 \] \[ y = 12 + 2 \] \[ y = 14 \]
Now, we compare this result with the ordered pairs:
A. (3, 14) - matches since \( y = 14 \)
B. (3, 7) - does not match since \( y = 7 \)
C. (3, 45) - does not match since \( y = 45 \)
D. (3, 12) - does not match since \( y = 12 \)
The correct answer is:
A. (3, 14)